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C₂×#7943 #181117

• p-group
• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

3194 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 26 points:

(1,2);(3,4)(5,9,10,7)(6,8)(11,12)(13,19)(14,22)(15,18)(16,21)(17,23)(20,25)(24,26);(3,5)(4,7)(6,10)(8,9)(11,13)(12,16,18,24)(14,21)(15,20)(17,19,22,25)(23,26);(5,10)(7,9)(13,20)(16,24)(19,25)(21,26)

Conjugacy classes & character table

104 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 88313);